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Finding the Fourth Proportional to 308,541.60, 462,848.40 and 98,200.80

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Solution

The fourth proportional to 308,541.60, 462,848.40 and 98,200.80 is: 147,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,541.60 : 462,848.40 = 98,200.80 : x
  2. Step 2: Convert to fraction form
    308,541.60/462,848.40 = 98,200.80/x
  3. Step 3: Cross multiply
    308,541.60x = 462,848.40 × 98,200.80
  4. Step 4: Simplify right side
    308,541.60x = 45,452,083,158.72
  5. Step 5: Solve for x
    x = 45,452,083,158.72/308,541.60
  6. Step 6: Final answer
    x = 147,312.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.